밑줄 친 부분 중에서 틀린 부분을 모두 찾는건데요ㅠ(하나만 틀렸을 수도 있어요^^;;)
제대로 풀지를 못하겠어서 글 올려봅니다..

1.
making him convinced that his company could go belly-up if he didn’t stop wasting company’s budgets being almost impossible; he was such a stubborn person that he would never listen to others’ advice.

that은 둘 다 접속사로 쓰인 것 같아서 괜찮다고 생각했구요. if도 괜찮고.. him이랑 being은 잘 모르겠어요ㅠ2.
however, it is important for governance and accountability purposes that each department know which initiatives within the program itis responsible for.

each때문에 knows가 와야된다고 생각했구요. program 뒤에 it is가 나오는건 뭔가 어색해서 체크해봤네요..